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Finding the Fourth Proportional to 546.78, 755.28 and 405.28

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Solution

The fourth proportional to 546.78, 755.28 and 405.28 is: 559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 755.28 = 405.28 : x
  2. Step 2: Convert to fraction form
    546.78/755.28 = 405.28/x
  3. Step 3: Cross multiply
    546.78x = 755.28 × 405.28
  4. Step 4: Simplify right side
    546.78x = 306,097.99
  5. Step 5: Solve for x
    x = 306,097.99/546.78
  6. Step 6: Final answer
    x = 559.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.